{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:SJUWFG5B6LJAZQEJUQVS5EPIOJ","short_pith_number":"pith:SJUWFG5B","canonical_record":{"source":{"id":"2507.10028","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-07-14T08:07:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"71776da89654f4f9506db6efe329cbeffba8961671c68079b4e9bb5690f0ff21","abstract_canon_sha256":"932a2c31b3118480988ee512d0e5120a53d0a582f391e390b11dd9622d9c1c77"},"schema_version":"1.0"},"canonical_sha256":"9269629ba1f2d20cc089a42b2e91e8727c0e57a1a27f1525503c87828a34791d","source":{"kind":"arxiv","id":"2507.10028","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.10028","created_at":"2026-07-05T11:48:05Z"},{"alias_kind":"arxiv_version","alias_value":"2507.10028v2","created_at":"2026-07-05T11:48:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10028","created_at":"2026-07-05T11:48:05Z"},{"alias_kind":"pith_short_12","alias_value":"SJUWFG5B6LJA","created_at":"2026-07-05T11:48:05Z"},{"alias_kind":"pith_short_16","alias_value":"SJUWFG5B6LJAZQEJ","created_at":"2026-07-05T11:48:05Z"},{"alias_kind":"pith_short_8","alias_value":"SJUWFG5B","created_at":"2026-07-05T11:48:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:SJUWFG5B6LJAZQEJUQVS5EPIOJ","target":"record","payload":{"canonical_record":{"source":{"id":"2507.10028","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-07-14T08:07:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"71776da89654f4f9506db6efe329cbeffba8961671c68079b4e9bb5690f0ff21","abstract_canon_sha256":"932a2c31b3118480988ee512d0e5120a53d0a582f391e390b11dd9622d9c1c77"},"schema_version":"1.0"},"canonical_sha256":"9269629ba1f2d20cc089a42b2e91e8727c0e57a1a27f1525503c87828a34791d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:48:05.342069Z","signature_b64":"swZMvpPrCz7m0jMptdtIwbOKX80Tsg0IKHh7FqPvQ1QLstAQsnGR/ArvMcH4mKGZ5dAE8n8ZgPdn2VLB4N+XDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9269629ba1f2d20cc089a42b2e91e8727c0e57a1a27f1525503c87828a34791d","last_reissued_at":"2026-07-05T11:48:05.341347Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:48:05.341347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.10028","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:48:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ibeIb5xT1fsEWZE3t0LZIEFFpjWZIA7JkhpPMZzrOTxmwbjf66a+wDFFw09qH+6LSg3xAIgc1vWoDuiue7tBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:34:49.091842Z"},"content_sha256":"e3052837d058b951cb013bf805d2042672f19fc8c8b289780d7e4d2e8eaa9475","schema_version":"1.0","event_id":"sha256:e3052837d058b951cb013bf805d2042672f19fc8c8b289780d7e4d2e8eaa9475"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:SJUWFG5B6LJAZQEJUQVS5EPIOJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal exponents of black hole phase transition at zero-temperature limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Shan-Ping Wu, Shao-Wen Wei, Yu-Peng Zhang, Yu-Xiao Liu","submitted_at":"2025-07-14T08:07:34Z","abstract_excerpt":"In this work, we investigate the universal thermodynamic characteristics of black hole phase transitions at the zero-temperature limit. Our results reveal that, far below the critical point, the near zero-temperature region also exhibits universal properties. By employing the Maxwell equal area law and analyzing the coexistence curve of black hole phase transitions, we derive three universal exponents: $\\alpha=1$, $\\beta=2$, and $\\gamma=d-3$, where $d$ represents the spacetime dimension number. Furthermore, additional studies show that these exponents remain unchanged regardless of the black h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10028","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.10028/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:48:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hi3EvjRretuV9JlGD2COLMx9MzAy9bw8b+P3m4I8aKmeDTic9Gj0eFXoN3OxQa0QlJz2++Rp69fis65X5fWmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:34:49.092775Z"},"content_sha256":"d0415a44b77f21422a72ff01274240b3b8374117fbfc61ee6e03faf0349f8017","schema_version":"1.0","event_id":"sha256:d0415a44b77f21422a72ff01274240b3b8374117fbfc61ee6e03faf0349f8017"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/bundle.json","state_url":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-11T18:34:49Z","links":{"resolver":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ","bundle":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/bundle.json","state":"https://pith.science/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SJUWFG5B6LJAZQEJUQVS5EPIOJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SJUWFG5B6LJAZQEJUQVS5EPIOJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"932a2c31b3118480988ee512d0e5120a53d0a582f391e390b11dd9622d9c1c77","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-07-14T08:07:34Z","title_canon_sha256":"71776da89654f4f9506db6efe329cbeffba8961671c68079b4e9bb5690f0ff21"},"schema_version":"1.0","source":{"id":"2507.10028","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.10028","created_at":"2026-07-05T11:48:05Z"},{"alias_kind":"arxiv_version","alias_value":"2507.10028v2","created_at":"2026-07-05T11:48:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.10028","created_at":"2026-07-05T11:48:05Z"},{"alias_kind":"pith_short_12","alias_value":"SJUWFG5B6LJA","created_at":"2026-07-05T11:48:05Z"},{"alias_kind":"pith_short_16","alias_value":"SJUWFG5B6LJAZQEJ","created_at":"2026-07-05T11:48:05Z"},{"alias_kind":"pith_short_8","alias_value":"SJUWFG5B","created_at":"2026-07-05T11:48:05Z"}],"graph_snapshots":[{"event_id":"sha256:d0415a44b77f21422a72ff01274240b3b8374117fbfc61ee6e03faf0349f8017","target":"graph","created_at":"2026-07-05T11:48:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.10028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we investigate the universal thermodynamic characteristics of black hole phase transitions at the zero-temperature limit. Our results reveal that, far below the critical point, the near zero-temperature region also exhibits universal properties. By employing the Maxwell equal area law and analyzing the coexistence curve of black hole phase transitions, we derive three universal exponents: $\\alpha=1$, $\\beta=2$, and $\\gamma=d-3$, where $d$ represents the spacetime dimension number. Furthermore, additional studies show that these exponents remain unchanged regardless of the black h","authors_text":"Shan-Ping Wu, Shao-Wen Wei, Yu-Peng Zhang, Yu-Xiao Liu","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-07-14T08:07:34Z","title":"Universal exponents of black hole phase transition at zero-temperature limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.10028","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e3052837d058b951cb013bf805d2042672f19fc8c8b289780d7e4d2e8eaa9475","target":"record","created_at":"2026-07-05T11:48:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"932a2c31b3118480988ee512d0e5120a53d0a582f391e390b11dd9622d9c1c77","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-07-14T08:07:34Z","title_canon_sha256":"71776da89654f4f9506db6efe329cbeffba8961671c68079b4e9bb5690f0ff21"},"schema_version":"1.0","source":{"id":"2507.10028","kind":"arxiv","version":2}},"canonical_sha256":"9269629ba1f2d20cc089a42b2e91e8727c0e57a1a27f1525503c87828a34791d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9269629ba1f2d20cc089a42b2e91e8727c0e57a1a27f1525503c87828a34791d","first_computed_at":"2026-07-05T11:48:05.341347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:48:05.341347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"swZMvpPrCz7m0jMptdtIwbOKX80Tsg0IKHh7FqPvQ1QLstAQsnGR/ArvMcH4mKGZ5dAE8n8ZgPdn2VLB4N+XDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:48:05.342069Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.10028","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3052837d058b951cb013bf805d2042672f19fc8c8b289780d7e4d2e8eaa9475","sha256:d0415a44b77f21422a72ff01274240b3b8374117fbfc61ee6e03faf0349f8017"],"state_sha256":"76f052486fd8452bb30e1c94c4b8773ec3db732f1e19a874edbbf68c61b32664"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+f8KHADM4lyP9Cak2k/0d9pEZD1sHtVuCsT85MqadtmcLUiY3vydrphFo7n7dMva/Cv5IM8wQcrpebssAbCXAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T18:34:49.100316Z","bundle_sha256":"6c1515937082af43b7ae34fc5e32de5fee46b03e3585280273c0b1620d2adf0c"}}